2010/03/31 by Jie Wang, Wang, Jie
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG
paper · pdf · doi:10.48550/arxiv.1003.6073
12 pages, section 4 rewritten due to a gap in one of the reference
openalex publication_date 2010/03/31 · arxiv created 2010/07/08 · arxiv updated 2010/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an elementary construction of the tangent-obstruction theory of the deformations of the pair (X,L) with X a reduced local complete intersection scheme and L a line bundle on X. This generalizes the classical deformation theory of pairs in case X is smooth. A criteria for sections of L to extend is also given.